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10. S is any point on side QR of a ΔPQR. Show that PQ + QR + RP > 2PS. 2
11. Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2(BD + AC). 3
12. ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects 3
both the angles ABC and ADC.
13. In the given figure, AD is the bisector of ∠BAC. Prove that 3
AB > BD.
14. Prove that sum of any two sides of a triangle is greater than twice the 4
median with respect to the third side
15. In Δ ABC, side AB is produced to D so that BD = BC. If ∠B = 60° and ∠A = 70°. 4
Prove that: (i) AD > CD (ii) AD > AC
